{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:3XMYLN533VULLN52VYOWENVFPG","short_pith_number":"pith:3XMYLN53","canonical_record":{"source":{"id":"1002.2139","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-02-10T17:09:22Z","cross_cats_sorted":[],"title_canon_sha256":"055f4cde786ea1d7933e95aae260a25e75b10c15355b45b9e883ef1e43f8b06d","abstract_canon_sha256":"5732a6770e94b7485cda1d798387b04e7e3caf073b79499018b01d0a8a92ce3c"},"schema_version":"1.0"},"canonical_sha256":"ddd985b7bbdd68b5b7baae1d6236a579b513c56640a81462c06da5503655f89b","source":{"kind":"arxiv","id":"1002.2139","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.2139","created_at":"2026-05-18T02:09:10Z"},{"alias_kind":"arxiv_version","alias_value":"1002.2139v1","created_at":"2026-05-18T02:09:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.2139","created_at":"2026-05-18T02:09:10Z"},{"alias_kind":"pith_short_12","alias_value":"3XMYLN533VUL","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"3XMYLN533VULLN52","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"3XMYLN53","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:3XMYLN533VULLN52VYOWENVFPG","target":"record","payload":{"canonical_record":{"source":{"id":"1002.2139","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-02-10T17:09:22Z","cross_cats_sorted":[],"title_canon_sha256":"055f4cde786ea1d7933e95aae260a25e75b10c15355b45b9e883ef1e43f8b06d","abstract_canon_sha256":"5732a6770e94b7485cda1d798387b04e7e3caf073b79499018b01d0a8a92ce3c"},"schema_version":"1.0"},"canonical_sha256":"ddd985b7bbdd68b5b7baae1d6236a579b513c56640a81462c06da5503655f89b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:09:10.100782Z","signature_b64":"94gcjvGT5wh6cSef1oMe0OjEd1zXbFIZIcEqmmmWRhiIDaOMVN20cGr/2S3jtQ3GTYTyiiX+vP7Js+w0RNdLDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ddd985b7bbdd68b5b7baae1d6236a579b513c56640a81462c06da5503655f89b","last_reissued_at":"2026-05-18T02:09:10.100007Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:09:10.100007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1002.2139","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:09:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rbe4W7XHFg69BTqwBod9cCVfhl21OgXvh3dwhi0I8LYpKk61kmnubs5Xu8RwAzf0kcBc1+RNv2tM+aj1TKZyBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T08:58:57.454044Z"},"content_sha256":"8d579ee5bb9a5ed37c9d5c99c5c1e7a520dbbb7f05e5ff0f752d2aae746b50b7","schema_version":"1.0","event_id":"sha256:8d579ee5bb9a5ed37c9d5c99c5c1e7a520dbbb7f05e5ff0f752d2aae746b50b7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:3XMYLN533VULLN52VYOWENVFPG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Robin boundary conditions and the Morse potential in quantum mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"B. Belchev, M.A. Walton","submitted_at":"2010-02-10T17:09:22Z","abstract_excerpt":"The physical origin is investigated of Robin boundary conditions for wave functions at an infinite reflecting wall. We consider both Schr\\\"odinger and phase-space quantum mechanics (a.k.a. deformation quantization), for this simple example of a contact interaction. A non-relativistic particle moving freely on the half-line is treated as moving on the full line in the presence of an infinite potential wall, realized as a limit of a Morse potential. We show that the wave functions for the Morse states can become those for a free particle on the half-line with Robin boundary conditions. However, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.2139","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:09:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"utKWcXEqYSi+ynS92VC40YNHGNVkyR0qVOCkeyCH9/rzOHucd212Ng05CGiBSKaS4Vr63N3Xtig3F7oba3xaCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T08:58:57.454448Z"},"content_sha256":"837119ac56c268bb273d05bd56b95166c4b6cec7b60db19ca34f6a408e05fd81","schema_version":"1.0","event_id":"sha256:837119ac56c268bb273d05bd56b95166c4b6cec7b60db19ca34f6a408e05fd81"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3XMYLN533VULLN52VYOWENVFPG/bundle.json","state_url":"https://pith.science/pith/3XMYLN533VULLN52VYOWENVFPG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3XMYLN533VULLN52VYOWENVFPG/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-26T08:58:57Z","links":{"resolver":"https://pith.science/pith/3XMYLN533VULLN52VYOWENVFPG","bundle":"https://pith.science/pith/3XMYLN533VULLN52VYOWENVFPG/bundle.json","state":"https://pith.science/pith/3XMYLN533VULLN52VYOWENVFPG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3XMYLN533VULLN52VYOWENVFPG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:3XMYLN533VULLN52VYOWENVFPG","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"5732a6770e94b7485cda1d798387b04e7e3caf073b79499018b01d0a8a92ce3c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-02-10T17:09:22Z","title_canon_sha256":"055f4cde786ea1d7933e95aae260a25e75b10c15355b45b9e883ef1e43f8b06d"},"schema_version":"1.0","source":{"id":"1002.2139","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.2139","created_at":"2026-05-18T02:09:10Z"},{"alias_kind":"arxiv_version","alias_value":"1002.2139v1","created_at":"2026-05-18T02:09:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.2139","created_at":"2026-05-18T02:09:10Z"},{"alias_kind":"pith_short_12","alias_value":"3XMYLN533VUL","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"3XMYLN533VULLN52","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"3XMYLN53","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:837119ac56c268bb273d05bd56b95166c4b6cec7b60db19ca34f6a408e05fd81","target":"graph","created_at":"2026-05-18T02:09:10Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The physical origin is investigated of Robin boundary conditions for wave functions at an infinite reflecting wall. We consider both Schr\\\"odinger and phase-space quantum mechanics (a.k.a. deformation quantization), for this simple example of a contact interaction. A non-relativistic particle moving freely on the half-line is treated as moving on the full line in the presence of an infinite potential wall, realized as a limit of a Morse potential. We show that the wave functions for the Morse states can become those for a free particle on the half-line with Robin boundary conditions. However, ","authors_text":"B. Belchev, M.A. Walton","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-02-10T17:09:22Z","title":"On Robin boundary conditions and the Morse potential in quantum mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.2139","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8d579ee5bb9a5ed37c9d5c99c5c1e7a520dbbb7f05e5ff0f752d2aae746b50b7","target":"record","created_at":"2026-05-18T02:09:10Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"5732a6770e94b7485cda1d798387b04e7e3caf073b79499018b01d0a8a92ce3c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-02-10T17:09:22Z","title_canon_sha256":"055f4cde786ea1d7933e95aae260a25e75b10c15355b45b9e883ef1e43f8b06d"},"schema_version":"1.0","source":{"id":"1002.2139","kind":"arxiv","version":1}},"canonical_sha256":"ddd985b7bbdd68b5b7baae1d6236a579b513c56640a81462c06da5503655f89b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ddd985b7bbdd68b5b7baae1d6236a579b513c56640a81462c06da5503655f89b","first_computed_at":"2026-05-18T02:09:10.100007Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:09:10.100007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"94gcjvGT5wh6cSef1oMe0OjEd1zXbFIZIcEqmmmWRhiIDaOMVN20cGr/2S3jtQ3GTYTyiiX+vP7Js+w0RNdLDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:09:10.100782Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.2139","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d579ee5bb9a5ed37c9d5c99c5c1e7a520dbbb7f05e5ff0f752d2aae746b50b7","sha256:837119ac56c268bb273d05bd56b95166c4b6cec7b60db19ca34f6a408e05fd81"],"state_sha256":"bc596791fe4db74e3ea9bea06a3fce9484d6735c688292425d4c188ed944a2da"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VTo7RlQcYK1XXQz8FtpAn4rcClZ9v7GaU6Vuujbg/jrp4y1AkVbiqlkn/9GHb/TaHVYw2t+YEqpcY5m0e1qoAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T08:58:57.456381Z","bundle_sha256":"f93542ce892247e010265877384807fade91d8a859ec5c95da7a0872cd6cb794"}}